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# an electron and a proton enter a magnetic field with same velocity then their acceleration will be?

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## 1 Answers

KAPIL MANDAL
132 Points
6 years ago

The force acting on them is F= e(v×B). Now, charges of electron and proton have opposite sign. Again from Newtons law, F=ma where a is the acceleration. So,
e(v×B)=ma.
a=e(v×B)/m
Now, charges of electron and proton have opposite sign, So,
firstly, the direction of them will be opposite.
Secondly, mass m of proton is 1836 times greater than that of the electron. So, a=magnitude of acceleration of proton will be 1836 times smaller. Ok?

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